Question

If anyone can solve all 3 questions that would be amazing thanks

Answer 1

Explanation:

a) y=x²-4x+10

`x^2-4x+10=\\\\x^2-2(x)(2)+2^2-2^2+10=\\\\(x^2-2(x)(2)+2^2)-2(2)+10=\\\\(x-2)^2-4+10=\\\\(x-2)^2+6\\\\Hence \ y=(x-2)^2+6`

b) y=x²+8x+9

`x^2+8x+9=\\\\x^2+2(x)(4)+4^2-4^2+9=\\\\(x^2+2(x)(4)+4^2)-4^2+9=\\\\(x+4)^2-16+9=\\\\(x+4)^2-7\\\\Hence \ y=(x+4)^2-7`

c) y=x^2-22y+124

`x^2-22x+124=\\\\x^2-2(x)(12)+12^2-12^2+12^2=\\\\x^2-2(x)(12)+12^2=\\\\(x-12)^2\\\\Hence \ y=(x-12)^2`